Problema Solution
A store mixes Kentucky bluegrass worth $12 per pound and ryegrass worth $15 per pound. The mixture is to sell for $13 per pound. Find out how much of each should be used to make a 408 pound mixture
Answer provided by our tutors
let
b = lbs of the Kentucky bluegrass worth $12 per pound
r = lbs of the ryegrass worth $15 per pound
b + r = 408 lbs of the mixture that sells for $13 per pound
the total cost of Kentucky bluegrass + the total cost of ryegrass = the total cost of the mixture
12b + 15r = 408*13 divide both sides by 3
4b + 5r = 1768
by solving the system of equations
b + r = 408
4b + 5r = 1768
we find
b = 272 lbs
r = 136 lbs
click here to see the step by step solution of the system of equations
272 lbs of Kentucky bluegrass and 136 lbs of ryegrass should be mixed.